ON A STABILITY OF THE BEAMS WITH AND WITHOUT ELASTIC FOUNDATION

In this paper, we analyze the stability of the four beams with different types of boundary conditions on a Winkler-type elastic foundation. We examine both the nonlinear and linearized problems for all beams. We show influence of boundary conditions on the number of solutions for the unique values of the critical force and foundation stiffness. Finally, we compared results of this analysis with the results of classical Euler’s axially loaded rods for several types of boundary conditions without elastic foundation.